Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Textbook Question
Chapter 3, Problem 18P
Given the dc servomotor and load shown in Figure P3.11, represent the system in state space, where the state variables are the armature current, ia, load displacement.
FIGURE P3.11 Motor and load
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Students have asked these similar questions
For the following state-space representation,define the:– State Vector– System Matrix– Feedforward Matrix– Input Matrix & Input Vector– Output Matrix & Output Vector
2. Assume a 2 DOF rigid body with a rigid bar, which is supported by a two-spring damper
:3k4, m =
supports. Inertia and length of the rigid body are I
=
10kg and L= 4m.
(a) Derive the mathematical model of the system in variable form
(b) Write the state space representation of the above system.
(c) k₁= k₂ = 800N.m and c₁ = C₂ = 350N.s/m Develop a simulink model and plot all
the system response for input y = sin(wt), where w 1 rad
=
S
(d) k₁ 400v, k₂ 800N.m and c₁ = 175N.s/m, c₂ 350N.s/m Develop a simulink
model and plot all the system response for input y = sin(wt), where w = = 1 rad
8
-
L/4
k₁,c
m, I
L/4
k₂,c
y = sin wt
Represent the system shown in Figure P3.7 in state space where the output is 01 (t).
T(1)
N1 = 30
2 N-m/rad 3 N-m-s/rad
TON-m/rad N2= 300
N3 = 10
N4 = 100
OL(t)
-- TTTT
200 N-m-s/rad
FIGURE P3.7
Chapter 3 Solutions
Control Systems Engineering
Ch. 3 - Prob. 1RQCh. 3 - State an advantage of the transfer function...Ch. 3 - Define state variables.Ch. 3 - Define state.Ch. 3 - Define state vector.Ch. 3 - Define state space.Ch. 3 - What is required to represent a system in state...Ch. 3 - 8. An eighth-order system would be represented in...Ch. 3 - If the state equations are a system of first-order...Ch. 3 - Prob. 10RQ
Ch. 3 - What factors influence the choice of state...Ch. 3 - What is a convenient choice of state variables for...Ch. 3 - If an electrical network has three energy-storage...Ch. 3 - Prob. 14RQCh. 3 - Prob. 1PCh. 3 - Represent the electrical network shown in Figure...Ch. 3 - Prob. 3PCh. 3 - Represent the system shown in Figure P3.4 in state...Ch. 3 - Represent the rotational mechanical system shown...Ch. 3 - Represent the system shown in Figure P3.7 in state...Ch. 3 - 8. Show that the system of Figure 3.7 in the text...Ch. 3 - Find the state-space representation in...Ch. 3 - MATLAB ML 10. Repeat Problem 9 using MATLAB....Ch. 3 - For each system shown in Figure P3.9, write the...Ch. 3 - MATLAB ML
12. Repeat Problem 11 using MATLAB....Ch. 3 - 13. Represent the following transfer function in...Ch. 3 - Find the transfer function G(s) = Y(s)/R(s) for...Ch. 3 - MATLAB ML
15. Use MATLAB to find the transfer...Ch. 3 - 17. A missile in flight, as shown in Figure P3.10,...Ch. 3 - Given the dc servomotor and load shown in Figure...Ch. 3 - Prob. 20PCh. 3 - Prob. 23PCh. 3 - Experiments to identify precision grip dynamics...Ch. 3 - State-space representations are, in general, not...Ch. 3 - Figure P3.16 shows a schematic description of the...Ch. 3 - Prob. 28PCh. 3 - A single-pole oil cylinder valve contains a spool...Ch. 3 - Figure P3.17 shows a free-body diagram of an...Ch. 3 - 33. Parabolic trough collector. A transfer...
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